What is the Greatest Common Factor of 24025 and 24029?

Greatest common factor (GCF) of 24025 and 24029 is 1.

GCF(24025,24029) = 1

We will now calculate the prime factors of 24025 and 24029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24025 and 24029.

How to find the GCF of 24025 and 24029?

We will first find the prime factorization of 24025 and 24029. After we will calculate the factors of 24025 and 24029 and find the biggest common factor number .

Step-1: Prime Factorization of 24025

Prime factors of 24025 are 5, 31. Prime factorization of 24025 in exponential form is:

24025 = 5² × 31²

Step-2: Prime Factorization of 24029

Prime factors of 24029 are 24029. Prime factorization of 24029 in exponential form is:

24029 = 24029¹

Step-3: Factors of 24025

List of positive integer factors of 24025 that divides 24025 without a remainder.

1, 5, 25, 31, 155, 775, 961, 4805

Step-4: Factors of 24029

List of positive integer factors of 24029 that divides 24025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24025 and 24029. The biggest common factor number is the GCF number.
So the greatest common factor 24025 and 24029 is 1.

Also check out the Least Common Multiple of 24025 and 24029